Surface-Area-Based Attribute Filtering in 3D

Authors:
Fred N. Kiwanuka;Georgios K. Ouzounis;Michael H. Wilkinson
Affiliations:
Institute for Mathematics and Computing Science, University of Groningen, Groningen, The Netherlands 9700 and Faculty of Computing and Information Technology, Makerere University, Kampala, Uganda ...;School of Medicine, Democritus University of Thrace, University General Hospital of Alexandroupoli, Alexandroupoli, Greece 68100;Institute for Mathematics and Computing Science, University of Groningen, Groningen, The Netherlands 9700
Venue:
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Year:
2009

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Abstract

In this paper we describe a rotation-invariant attribute filter based on estimating the sphericity or roundness of objects by efficiently computing surface area and volume of connected components. The method is based on an efficient algorithm to compute all iso-surfaces of all nodes in a Max-Tree. With similar properties to moment-based attributes like sparseness, non-compactness, and elongation, our sphericity attribute can supplement these in finding blood-vessels in time-of-flight MR angiograms. We compare the method to a discrete surface area method based on adjacency, which has been used for urinary stone detection. Though the latter is faster, it is less accurate, and lacks rotation invariance.